Dirichlet’s Theorem on Arithmetic Progressions
Dirichlet’s theorem on arithmetic progressions is a theorem in mathematics that states that every arithmetic progression (an arithmetic sequence of a fixed finite length) contains a prime number.
Dirichlet’s Unit Theorem
Dirichlet’s Unit Theorem states that every unit in a ring is a generator of the ring. In other words, every unit in a ring is a potential source of new elements in the ring.
Dirichlet’s Approximation Theorem
Dirichlet’s Approximation Theorem states that any function can be approximated by a polynomial of degree at most one less than the dimension of the function’s domain.
